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  Discussion about math, puzzles, games and fun.   Useful symbols: √ ∞ ≠ ≤ ≥ ≈ ⇒ ∈ Δ θ ∴ ∑ ∫ π -




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Topic review (newest first)

2005-10-25 16:32:19

The wabpage that I refered to gives just a very few samples. In practice, I have measurements that could be described as Bessel functions of all possible kinds of orders from 0 to 40 around. My problem is how to retreive exactly the order of the corresponding Bessel function.

More examples can be found at

Is Bessel function a "cold" topic in Math World?

2005-10-25 05:12:47

It looks like a graph of dampened harmonic motion - a sinusoidal wave whose amplitude is constantly changing subject to an exponential decay - but it might just be something similar.
I also know nothing about bessel functions smile

2005-10-25 05:03:36

The second two graphs on the page you linked are subtly different. One begins concave-upward, the other downward. I'm betting you could guess it from the slope of a tangent line near 0.

Again, I know nothing about bessel functions. smile

2005-10-25 04:45:04

Thank you, ryos. You are right, the zero-order Bessel function can be easily identified because it has intercept on y-axis at 1. However, all other Bessel functions intersect the y-axis at zero. The problem is how to recognize those higher-order Bessel functions?

Looking forward to any possible solution. Thanks.

2005-10-24 12:42:52

I know nothing about Bessel functions, but I went to the address you gave, and the three graphs shown there all look different--they all intersect the y-axis in different spots. Are they all different orders? Perhaps you could tell them apart in this way - by their y intercept.

2005-10-24 02:09:10

A Bessel function (of the first kind, I mean here) can nowdays be routinely calculated if given the order of the Bessel function. Bessel Function plots are also known corresponding to specific orders. Pls visit   for examples.

My question is: If I were given a plot of some Bessel function without known its order, how could I retrieve the order of the Bessel Function from the plot? Please note that the absolute x-coordinate is missing from the plot, i.e. we cannot read out the absolute x-values for those Bessel zeros.

Thanks in advance. I appreciate your help.


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